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Simplifying 7x + 46 = 3x + 22 Reorder the terms: 46 + 7x = 3x + 22 Reorder the terms: 46 + 7x = 22 + 3x Solving 46 + 7x = 22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 46 + 7x + -3x = 22 + 3x + -3x Combine like terms: 7x + -3x = 4x 46 + 4x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + 4x = 22 + 0 46 + 4x = 22 Add '-46' to each side of the equation. 46 + -46 + 4x = 22 + -46 Combine like terms: 46 + -46 = 0 0 + 4x = 22 + -46 4x = 22 + -46 Combine like terms: 22 + -46 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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